|?̅, ??, ?|(?) Toplanabilme Metodu ile İlgili Mutlak Toplanabilme Çarpanları

? ve ? iki toplanabilme metodu olmak üzere Σ??, ? toplanabilir iken Σ????, ? toplanabilir olacak şekildeki bütün ? dizilerinin kümesi (?,?) ile gösterilir ve ? dizisine toplanabilme çarpanı adı verilir. Bu çalışmada, (Gökçe ve Sarıgöl, 2018) tarafından verilen teoremler yardımıyla (|?̅,??,?|(?),|?̅,??|) ve (|?̅,??,?|(?),|?̅,??,?|(?)) toplanabilme çarpanları kümeleri karakterize edilmiştir. Ayrıca özel durumlarda, bilinen bazı sonuçlar elde edilmiştir.

Anahtar Kelimeler:

Mutlak ağırlıklı ortalama toplanabilme, toplanabilme çarpanı, matris dönüşümleri, dizi uzayları

Absolute Summability Factors Related to the Summability Method |?̅,??, ?|(?)

By (?,?), we denote the set of all sequences ? such that Σ???? is summable ? whenever Σ?? is summable ? where ? and ? are two summability methods. In this study, applying the main theorems in (Gökçe and Sarıgöl, 2018) to summability factors, we characterize the sets (|?̅,??,?|(?),|?̅,??|) and (|?̅,??,?|(?),|?̅,??,?|(?)). Also, in the special case, we get some well-known results.

Keywords:

Absolute weighted summability, summability factors, matrix transformations, sequence spaces,

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